Results 121 to 130 of about 3,508 (166)

Solitary Waves Solutions of a Nonlinear Schrödinger Equation

2003
The aim of this note is to prove the existence of standing waves solutions of the following nonlinear Schrodinger equation $$ i\frac{{\partial \psi }} {{\partial t}} = - \Delta \psi + V(x)\psi + \varepsilon N(\psi ), $$ where NM is a nonlinear differential operator.
MICHELETTI, ANNA MARIA, D. VISETTI
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Solitary Wave Solutions and Kink Wave Solutions for a Generalized PC Equation

Acta Mathematicae Applicatae Sinica, English Series, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solitary wave solutions and kink wave solutions for a generalized KDV–mKDV equation

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Ming, Hou, Xuejiong, Cao, Jun
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Solitary wave solutions and kink wave solutions for a generalized Zakharov–Kuznetsov equation

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Ming, Cai, Jionghui
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Solitary Wave Solution to Boussinesq Equations

Journal of Waterway, Port, Coastal, and Ocean Engineering, 1997
The exact solitary wave solution to the Boussinesq equations, which was given in an implicit integral form, is further studied in the present note. Through numerical curve fitting, an explicit closed-form empirical solution whose profile is nearly identical to the exact solution is obtained.
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Construction of Stationary Solitary Wave Solutions

Journal of the Physical Society of Japan, 1985
A construction of stationary solitary wave solutions to nonlinear partial differential equations is presented. First, it is shown that one of fifty Painleve-type ordinary differential equations intimately connects with one-soliton solutions which are stationary solitary wave ones of usual soliton equations.
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Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves

SIAM Journal on Mathematical Analysis, 1996
Summary: It is shown that solitary-wave solutions of model equations for long waves have an analytic extension to a strip in the complex plane that is symmetric about the real axis. The classes of equations to which the analysis applies include equations of Korteweg-de Vries type, the regularized long-wave equations, and particular instances of ...
Li, Yi A., Bona, Jerry L.
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Solitary-wave solutions of nonlinear problems

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1990
A general method is presented for the exact treatment of analytical problems that have solutions representing solitary waves. The theoretical framework of the method is developed in abstract first, providing a range of fixed-point theorems and other useful resources.
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Solitary Wave Solutions for Ultrashort Optical Pulses

Frontiers in Optics 2008/Laser Science XXIV/Plasmonics and Metamaterials/Optical Fabrication and Testing, 2008
We consider the propagation of ultrashort optical pulses in nonlinear dispersive media without using slow envelope approximations. Shortest and most intense pulses propagating in a stationary manner are found as well as classical envelope solitons.
Sh. Amiranashvili, A.G. Vladimirov, U. Bandelow   +2 more
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Solitary wave solution, breather wave solution and rogue wave solution for a KP-equation

In this paper, we investigate KP equation by the Hirota bilinear method and obtain its bilinear form successfully. On the basis of above bilinear form, a number of explicit solutions including one-solitary wave solution, two-solitary wave solution and their generalized form N-solitary wave solution are obtained successfully.
Zhenjie Niu, Zenggui Wang
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